Geodesic
New quadrature rules for Bernstein measures on the interval \([-1,1]\)
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 278-290
In the present paper, we obtain quadrature rules for Bernstein measures on , having a fixed ! number of nodes and weights such that they exactly integrate functions in the linear space of polynomials with real coefficients.
Classification : 33C47, 42C05
Keywords: quadrature rules, orthogonal polynomials, measures on the real line, Bernstein measures, Chebyshev polynomials 
@article{ETNA_2008__30__a8,
     author = {Berriochoa,  El{\'\i}as and Cachafeiro,  Alicia and Garc{\'\i}a-Amor,  Jos\'e M. and Marcell\'an,  Francisco},
     title = {New quadrature rules for {Bernstein} measures on the interval \([-1,1]\)},
     journal = {Electronic transactions on numerical analysis},
     pages = {278--290},
     year = {2008},
     volume = {30},
     zbl = {1176.33016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a8/}
}
TY  - JOUR
AU  - Berriochoa,  Elías
AU  - Cachafeiro,  Alicia
AU  - García-Amor,  José M.
AU  - Marcellán,  Francisco
TI  - New quadrature rules for Bernstein measures on the interval \([-1,1]\)
JO  - Electronic transactions on numerical analysis
PY  - 2008
SP  - 278
EP  - 290
VL  - 30
UR  - http://geodesic.mathdoc.fr/item/ETNA_2008__30__a8/
LA  - en
ID  - ETNA_2008__30__a8
ER  - 
%0 Journal Article
%A Berriochoa,  Elías
%A Cachafeiro,  Alicia
%A García-Amor,  José M.
%A Marcellán,  Francisco
%T New quadrature rules for Bernstein measures on the interval \([-1,1]\)
%J Electronic transactions on numerical analysis
%D 2008
%P 278-290
%V 30
%U http://geodesic.mathdoc.fr/item/ETNA_2008__30__a8/
%G en
%F ETNA_2008__30__a8
Berriochoa,  Elías; Cachafeiro,  Alicia; García-Amor,  José M.; Marcellán,  Francisco. New quadrature rules for Bernstein measures on the interval \([-1,1]\). Electronic transactions on numerical analysis, Tome 30 (2008), pp. 278-290. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a8/